mathsurgery - Integers, powers and roots

All
• Identify pairs of factors of two-digit whole numbers and find common multiples (e.g. for 6 and 9) (Y5)
• Find the difference between a positive and a negative integer, or two negative integers, in context (Y6)
• Recognise that prime numbers have only two factors and identify prime numbers less than 100; find the prime factors of two-digit numbers (Y6)
• Use knowledge of multiplication facts to derive quickly squares of numbers to 12 × 12 and the corresponding squares of multiples of 10 (Y6)

Most
• Generalise in simple cases by working logically
• Recognise and use multiples, factors, primes (less than 100), common factors, highest common factors and lowest common multiples in simple cases; use simple tests of divisibility
• Understand negative numbers as positions on a number line; order, add and subtract positive and negative integers in context.
• Recognise the first few triangular numbers, squares of numbers to at least 12 ´ 12 and the corresponding roots

Some
• Conjecture and generalise
• Use multiples, factors, common factors, highest common factors, lowest common multiples and primes
• Find the prime factor decomposition of a number (e.g. 8000) using index notation for small positive integer powers
• Add, subtract, multiply and divide integers• Use squares, positive and negative square roots, cubes and cube roots

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Integers, powers and roots